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Finding the Fourth Proportional to 455,998.42, 683,628.67 and 189,958.78

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Solution

The fourth proportional to 455,998.42, 683,628.67 and 189,958.78 is: 284,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,998.42 : 683,628.67 = 189,958.78 : x
  2. Step 2: Convert to fraction form
    455,998.42/683,628.67 = 189,958.78/x
  3. Step 3: Cross multiply
    455,998.42x = 683,628.67 × 189,958.78
  4. Step 4: Simplify right side
    455,998.42x = 129,861,268,126.22
  5. Step 5: Solve for x
    x = 129,861,268,126.22/455,998.42
  6. Step 6: Final answer
    x = 284,784.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.